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Finding the Fourth Proportional to 3,059.60, 4,591.78 and 1,416.32

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Solution

The fourth proportional to 3,059.60, 4,591.78 and 1,416.32 is: 2,125.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,059.60 : 4,591.78 = 1,416.32 : x
  2. Step 2: Convert to fraction form
    3,059.60/4,591.78 = 1,416.32/x
  3. Step 3: Cross multiply
    3,059.60x = 4,591.78 × 1,416.32
  4. Step 4: Simplify right side
    3,059.60x = 6,503,429.85
  5. Step 5: Solve for x
    x = 6,503,429.85/3,059.60
  6. Step 6: Final answer
    x = 2,125.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.